Natural Space for Group Action
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One natural space for group action is the following:
If G is a finitely presented group, let X be its presentation complex, Then G acts ‘naturally’ via deck transformation on its universal cover.
I am curious to know if there are other spaces (different from covering spaces) on which we can ‘naturally’ examine group actions.
group-theory
asked Nov 19 at 23:15
ardhajya
598
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One natural space for group action is the following:
If G is a finitely presented group, let X be its presentation complex, Then G acts ‘naturally’ via deck transformation on its universal cover.
I am curious to know if there are other spaces (different from covering spaces) on which we can ‘naturally’ examine group actions.
group-theory
asked Nov 19 at 23:15
ardhajya
598
Look up geometric group theory or representation theory
– Paul Plummer
Nov 20 at 0:47
add a comment |
up vote
0
down vote
favorite
up vote
0
down vote
favorite
One natural space for group action is the following:
If G is a finitely presented group, let X be its presentation complex, Then G acts ‘naturally’ via deck transformation on its universal cover.
I am curious to know if there are other spaces (different from covering spaces) on which we can ‘naturally’ examine group actions.
group-theory
asked Nov 19 at 23:15
ardhajya
598
One natural space for group action is the following:
If G is a finitely presented group, let X be its presentation complex, Then G acts ‘naturally’ via deck transformation on its universal cover.
I am curious to know if there are other spaces (different from covering spaces) on which we can ‘naturally’ examine group actions.
group-theory
group-theory
asked Nov 19 at 23:15
ardhajya
598
asked Nov 19 at 23:15
ardhajya
598
asked Nov 19 at 23:15
ardhajya
598
asked Nov 19 at 23:15
ardhajya
598
asked Nov 19 at 23:15
ardhajya
598
598
Look up geometric group theory or representation theory
– Paul Plummer
Nov 20 at 0:47
add a comment |
Look up geometric group theory or representation theory
– Paul Plummer
Nov 20 at 0:47
Look up geometric group theory or representation theory
– Paul Plummer
Nov 20 at 0:47
Look up geometric group theory or representation theory
– Paul Plummer
Nov 20 at 0:47
add a comment |
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Look up geometric group theory or representation theory
– Paul Plummer
Nov 20 at 0:47